7410444397440 has 256 divisors, whose sum is σ = 27437737443840. Its totient is φ = 1666048204800.

The previous prime is 7410444397399. The next prime is 7410444397457. The reversal of 7410444397440 is 447934440147.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3699606 + ... + 5339285.

It is an arithmetic number, because the mean of its divisors is an integer number (107178661890).

Almost surely, 2^{7410444397440} is an apocalyptic number.

7410444397440 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

7410444397440 is an abundant number, since it is smaller than the sum of its proper divisors (20027293046400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

7410444397440 is a wasteful number, since it uses less digits than its factorization.

7410444397440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9038981 (or 9038969 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 51.

The spelling of 7410444397440 in words is "seven trillion, four hundred ten billion, four hundred forty-four million, three hundred ninety-seven thousand, four hundred forty".